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6455260152 = 23321155714633
BaseRepresentation
bin1100000001100001…
…10111001111111000
3121122212201012012100
412000300313033320
5101210021311102
62544314343400
7315652543305
oct60060671770
917585635170
106455260152
11281290a550
121301a2ab60
137bb4b7a83
1445347a0ac
1527bab4a1c
hex180c373f8

6455260152 has 96 divisors (see below), whose sum is σ = 19107906480. Its totient is φ = 1952494080.

The previous prime is 6455260099. The next prime is 6455260159. The reversal of 6455260152 is 2510625546.

6455260152 is a `hidden beast` number, since 6 + 45 + 5 + 2 + 601 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455260159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433828 + ... + 448460.

Almost surely, 26455260152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6455260152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553953240).

6455260152 is an abundant number, since it is smaller than the sum of its proper divisors (12652646328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6455260152 is a wasteful number, since it uses less digits than its factorization.

6455260152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15213 (or 15206 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6455260152 is about 80344.6336229122. The cubic root of 6455260152 is about 1861.9638709237.

Adding to 6455260152 its reverse (2510625546), we get a palindrome (8965885698).

The spelling of 6455260152 in words is "six billion, four hundred fifty-five million, two hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 557 792 1114 1671 2228 3342 4456 5013 6127 6684 10026 12254 13368 14633 18381 20052 24508 29266 36762 40104 43899 49016 55143 58532 73524 87798 110286 117064 131697 147048 160963 175596 220572 263394 321926 351192 441144 482889 526788 643852 965778 1053576 1287704 1448667 1931556 2897334 3863112 5794668 8150581 11589336 16301162 24451743 32602324 48903486 65204648 73355229 89656391 97806972 146710458 179312782 195613944 268969173 293420916 358625564 537938346 586841832 717251128 806907519 1075876692 1613815038 2151753384 3227630076 6455260152